How are ballots cast and counted: paper, scanners and hand counts?

A scanner reads the marks in seconds, but it is the stored paper ballot that lets anyone check the count later.

Votes are counted either by hand or by machines, such as optical scanners that read marked paper ballots. Where a ballot has only one contest and a few candidates, a hand count is often simplest. Where many seats are on the same ballot, computers are often used to give quick results. Either way, the paper ballot is what lets anyone check the answer later.

An optical scan system works like a test-marking machine. A voter marks a paper ballot, and the scanner's sensors detect black and white pixels in the marking areas. Its processor creates a tally for each candidate, and it usually stores an image of the ballot for later review. In a -count system the ballot is read at the polling station, while in a central-count system ballots are collected and later at a central facility. Because the paper ballots and the electronic memories are stored, audits can check the images and tallies, and investigations or court challenges can examine them.

From mark to total
  1. Step 1: Voter marks paper

    Choices are marked on a paper ballot

  2. Step 2: Scanner reads marks

    Sensors detect dark and light pixels in the marking areas

  3. Step 3: Tally per candidate

    The processor adds up the votes and usually stores an image

  4. Step 4: Paper is kept

    Ballots are stored so audits and courts can check them

Scanners are not perfect. Hundreds of errors in optical scan systems have been found, from ballots fed in upside down to paper jams, blocked or overheated sensors and programming errors. But hand counting has problems too. Manual counts are usually accurate within one percent, and hand counting has been found to be slower and more prone to error than other methods. In New Hampshire towns, the average error in hand-counted candidate tallies was 2.5% in 2002, including one town off by up to 20%.

Some ballots cannot be counted on the night. In the US, a is used when there are questions about a voter's eligibility that must be resolved first, so the final tally can come one to two weeks later. In Britain, Canada, France, Germany and Spain, tallying may be done on the night itself.

Try it

How many votes a counting error can move

0751502253000255075100Votes counted (hundreds)Votes the tally is off by

y = 0.5x + 0

Challenge · Set the error to 0.87%, the New Hampshire average without its worst town. How many votes is a town of 5,000 votes (50 on the axis) off by?

A simple model that assumes the same error share throughout. It shows why even a small error rate matters when two candidates are separated by only a few votes.

Quiz me

0/3

  1. 1.Why does storing the paper ballots make an optical scan system easier to audit?
  2. 2.What does the New Hampshire measurement show about hand counts?
  3. 3.Why can final US totals take one to two weeks in some places?

Recap

A scanner counts the marks, but the stored paper is what lets people check it.

💡 A trick to remember it · Scan fast, keep the paper: the machine counts, the paper proves.

Surprising fact · Hand counts measured in New Hampshire in 2002 averaged 2.5% error, with one town up to 20%.

Sources (3)

No source, no claim. Every fact in this lesson (14 claims) cites at least one of these.

  1. [1]Vote counting · Wikipedia
  2. [2]Optical scan voting system · Wikipedia
  3. [3]Provisional ballot · Wikipedia
More lessons in ⚖️ Society & law (3) See all society & law lessons →

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